Search a number
-
+
214479722381904 = 2434723641944707
BaseRepresentation
bin110000110001000101110011…
…101010100000001001010000
31001010102001122121211222220000
4300301011303222200021100
5211103013432412210104
62040054342500050000
763114435314650530
oct6061056352401120
91033361577758800
10214479722381904
116238138089a871
122007b735093900
13928a4742c37b5
143ad6c341a54c0
1519be19a7b7639
hexc31173aa0250

214479722381904 has 100 divisors (see below), whose sum is σ = 709447476797664. Its totient is φ = 61279920677952.

The previous prime is 214479722381891. The next prime is 214479722382019. The reversal of 214479722381904 is 409183227974412.

214479722381904 is a `hidden beast` number, since 2 + 1 + 4 + 479 + 72 + 2 + 3 + 8 + 1 + 90 + 4 = 666.

It is a super-2 number, since 2×2144797223819042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11820963282 + ... + 11820981425.

Almost surely, 2214479722381904 is an apocalyptic number.

214479722381904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214479722381904 is an abundant number, since it is smaller than the sum of its proper divisors (494967754415760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214479722381904 is a wasteful number, since it uses less digits than its factorization.

214479722381904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23641944734 (or 23641944719 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 214479722381904 in words is "two hundred fourteen trillion, four hundred seventy-nine billion, seven hundred twenty-two million, three hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 23641944707 47283889414 70925834121 94567778828 141851668242 165493612949 189135557656 212777502363 283703336484 330987225898 378271115312 425555004726 496480838847 567406672968 638332507089 661974451796 851110009452 992961677694 1134813345936 1276665014178 1323948903592 1489442516541 1702220018904 1914997521267 1985923355388 2553330028356 2647897807184 2978885033082 3404440037808 3829995042534 3971846710776 4468327549623 5106660056712 5957770066164 7659990085068 7943693421552 8936655099246 10213320113424 11915540132328 13404982648869 15319980170136 17873310198492 23831080264656 26809965297738 30639960340272 35746620396984 53619930595476 71493240793968 107239861190952 214479722381904